Constructive invariant theory
Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980, Astérisque, no. 87-88 (1981), pp. 303-334.
@incollection{AST_1981__87-88__303_0,
     author = {Popov, V. L.},
     title = {Constructive invariant theory},
     booktitle = {Tableaux de Young et foncteurs de Schur en alg\`ebre et g\'eom\'etrie - TORUN, Pologne, 1980},
     series = {Ast\'erisque},
     pages = {303--334},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {87-88},
     year = {1981},
     mrnumber = {646826},
     zbl = {0491.14004},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1981__87-88__303_0/}
}
TY  - CHAP
AU  - Popov, V. L.
TI  - Constructive invariant theory
BT  - Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980
AU  - Collectif
T3  - Astérisque
PY  - 1981
SP  - 303
EP  - 334
IS  - 87-88
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_1981__87-88__303_0/
LA  - en
ID  - AST_1981__87-88__303_0
ER  - 
%0 Book Section
%A Popov, V. L.
%T Constructive invariant theory
%B Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980
%A Collectif
%S Astérisque
%D 1981
%P 303-334
%N 87-88
%I Société mathématique de France
%U http://archive.numdam.org/item/AST_1981__87-88__303_0/
%G en
%F AST_1981__87-88__303_0
Popov, V. L. Constructive invariant theory, dans Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980, Astérisque, no. 87-88 (1981), pp. 303-334. http://archive.numdam.org/item/AST_1981__87-88__303_0/

[1] Abstracts of lectures, International Conference « Young tableaux and Schur functors in algebra and geometry », August 27 - September 3, 1980, Torún, Poland.

[2] J. A. Dieudonné and J. B. Carrell, Invariant Theory, Old and new, Academic Press, 1971. | MR | Zbl

[3] W. H. Hesselink, Desingularizations of varieties of nullforms, Inv. Math., 55, 141-163, 1979. | DOI | EuDML | MR | Zbl

[4] D. Hilbert, Uber die vollen Invariantensysteme, Math. Ann., 42, p. 313-373, 1893. | DOI | EuDML | JFM | MR

[5] Hilbert's invariant theory papers, transl. by M. Ackerman, comments by R. Hermann, Math. Sci. Press, 53, Mass. 02146. | MR | Zbl

[6] M. Hochster and J. Roberts, Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Adv. in Math., 13, 1974, 115-175. | DOI | MR | Zbl

[7] J. E. Humphreys, Linear Algebraic Groups, Graduate Texts in Math., 21, Springer-Verlag, 1975. | DOI | MR | Zbl

[8] G. Kempf, The Hochster-Roberts theorem of invariant theory, The Michigan Math. J.,v. 26, 1979, N3, 19-32. | MR | Zbl

[9] D. Mumford, Geometric Invariant Theory, Erg. der Math., 34, 1965. | MR | Zbl

[10] E. Noëther, Nachr. Gött. Ges. Wissensch. 1926, p. 28.

E. Noëther, Nachr. Gött. Ges. Wissensch. Math. Ann. 77, 1916, p. 89.

[11] T. A. Springer, Invariant Theory, Lect. Notes Math., v. 585, 1977. | MR | Zbl

[12] T. A. Springer, On the invariant theory of S U 2 , Proc. of the Koninkl. Ned. Akad. van Wetenschappen, ser. A., v. 83 (3), 339-345. | DOI | MR | Zbl

[13] R. P. Stanley, Invariants of finite groups and their applications to combinations to combinatorics, Bull. Am. Math. Soc., v. 1, N3, 1979, 475-511. | DOI | MR | Zbl

[14] R. P. Stanley, Combinatorics and invariant theory, Proceedings of Symposia in Pure Math., v. 34, 1979, 345-355. | DOI | MR | Zbl

[15] R. P. Stanley, Hilbert functions of graded algebras, Adv. in Math., 28, 1978, 57-83. | DOI | MR | Zbl

[16] J. J. Sylvester, Tables of the generating functions and ground forms of the binary quantics of the first ten orders, Coll. Math. Papers, III, 283-311, Chelsea, 1973.

[17] H. Weyl, The classical groups, 2nd ed., Princeton Univ. Press, Princeton, N.J., 1953. | MR

[18] H. Weyl, Zur Darstellungstheorie und Invariantenabzählung der projektiven, der Komplex und der Drehungsgruppe, Ges. Abh. Bd. III, 1-25, Springer-Verlag, 1968.

[19] O. Zariski and P. Samuel, Commutative algebra, v.2, D. van Nostrand Company, Inc., 1960. | Zbl